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-. The electrical current in amperes in a circuit is given by the function y = 5 sin 120nt a) State the values of t for which y is a maximum b) State the values of t for which y is a minimum

-. The electrical current in amperes in a circuit is given by the function y = 5 sin 120nt a) State the values of t for which y is a maximum b) State the values of t for which y is a minimum

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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и Down Nove 12. A carnival Ferris wheel with a radius of 9.5 m rotates once every 10 seconds. The bottom of the wheel is 1.2 m above the ground. a) Find the equation of the sine function that gives the rider's height above the ground with respect to time, starting at the bottom of the wheel. b) Sketch the graph showing three complete cycles. 7 13. The electrical current in amperes in a circuit is given by the function y = Answers 43π 36 la) a) State the values of t for which y is a maximum b) State the values of t for which y is a minimum 3a) b) 2π 3 3π 2a) 108° b) 495° c) -15° d) approx. 286.5° 2 2 √√3 b) c) -√3 d) √3 e) 1 f) 1 31л 18 c) d) √√2 7π 4π 4a) cosb) sin 777 3 c) cos- 6 5a) 11 (-1) 3 or-cos g) 0 h) √2 y = sin(0.5x) - 1 = 5 sin 120nt rinr h) y = sin 3x 6a) y=-0.5 cos x b) y =3 cos x 2002r+3 or y=2 sin 2(x-¹)+3
Transcribed Image Text:и Down Nove 12. A carnival Ferris wheel with a radius of 9.5 m rotates once every 10 seconds. The bottom of the wheel is 1.2 m above the ground. a) Find the equation of the sine function that gives the rider's height above the ground with respect to time, starting at the bottom of the wheel. b) Sketch the graph showing three complete cycles. 7 13. The electrical current in amperes in a circuit is given by the function y = Answers 43π 36 la) a) State the values of t for which y is a maximum b) State the values of t for which y is a minimum 3a) b) 2π 3 3π 2a) 108° b) 495° c) -15° d) approx. 286.5° 2 2 √√3 b) c) -√3 d) √3 e) 1 f) 1 31л 18 c) d) √√2 7π 4π 4a) cosb) sin 777 3 c) cos- 6 5a) 11 (-1) 3 or-cos g) 0 h) √2 y = sin(0.5x) - 1 = 5 sin 120nt rinr h) y = sin 3x 6a) y=-0.5 cos x b) y =3 cos x 2002r+3 or y=2 sin 2(x-¹)+3
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